Lensing by Kerr Black Holes. II: Analytical Study of Quasi-Equatorial Lensing Observables
arXiv:1102.4304 · doi:10.1063/1.3642616
Abstract
In this second paper, we develop an analytical theory of quasi-equatorial lensing by Kerr black holes. In this setting we solve perturbatively our general lens equation with displacement given in Paper I, going beyond weak-deflection Kerr lensing to third order in our expansion parameter epsilon, which is the ratio of the angular gravitational radius to the angular Einstein radius. We obtain new formulas and results for the bending angle, image positions, image magnifications, total unsigned magnification, and centroid, all to third order in epsilon and including the displacement. New results on the time delay between images are also given to second order in epsilon, again including displacement. For all lensing observables we show that the displacement begins to appear only at second order in epsilon. When there is no spin, we obtain new results on the lensing observables for Schwarzschild lensing with displacement.
23 pages; final published version
References in corpus (11)
- Kerr black hole lensing for generic observers in the strong deflection limit
- A comparison of approximate gravitational lens equations and a proposal for an improved new one
- Strong deflection limit of black hole gravitational lensing with arbitrary source distances
- Analytical Kerr black hole lensing in the weak deflection limit
- Formalism for testing theories of gravity using lensing by compact objects. III: Braneworld gravity
- Light's Bending Angle in the Equatorial Plane of a Kerr Black Hole
- Magnification relations for Kerr lensing and testing Cosmic Censorship
- The weakly perturbed Schwarzschild lens in the strong deflection limit
- Lensing by Kerr Black Holes. I: General Lens Equation and Magnification Formula
- Primary caustics and critical points behind a Kerr black hole
- Strong and Weak Deflection of Light in the Equatorial Plane of a Kerr Black Hole
Cited by in corpus (37)
- Gravitational lensing in the Kerr-Randers optical geometry
- Gravitational lensing in a black-bounce traversable wormhole spacetime
- Testing Generalized Einstein-Cartan-Kibble-Sciama Gravity using Weak Deflection Angle and Shadow Cast
- Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem
- Weak and strong deflection gravitational lensings by a charged Horndeski black hole
- Analytical study of higher-order ring images of accretion disk around black hole
- Holonomy corrected Schwarzschild black hole lensing
- Distinguishing rotating naked singularities from Kerr-like wormholes by their deflection angles of massive particles
- Absorption, Scattering, Geodesics, Shadows and Lensing Phenomena of Black Holes in Effective Quantum Gravity
- Equatorial light bending around Kerr-Newman black holes
- Effects of non-commutative geometry on black hole properties
- Weak Gravitational lensing by stringy black holes
- On Finsler spacetimes with a timelike Killing vector field
- The perturbative approach for the weak deflection angle
- Strong gravitational lensing in a spacetime with topological charge within the Eddington-inspired Born-Infeld gravity
- An asymptotically consistent approximant for the equatorial bending angle of light due to Kerr black holes
- Roto-translational Effects on Deflection of Light and Particle by Moving Kerr Black Hole
- Weak deflection angle by asymptotically flat black holes in Horndeski theory using Gauss-Bonnet theorem
- Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole
- Topologically Charged Holonomy corrected Schwarzschild black hole lensing
- Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole
- Antisymmetric tensor influence on charged black hole lensing phenomena and time delay
- Light deflection and gravitational lensing effects inspired by loop quantum gravity
- Non-commutativity in Hayward spacetime
- Gravitational signatures of a nonlinear electrodynamics in gravity
- Kerr-Newman black hole lensing of relativistic massive particles in the weak field limit
- An Examination of Geometrical and Potential Time Delays in Gravitational Lensing
- Accurate closed-form trajectories of light around a Kerr black hole using asymptotic approximants
- Mapping weak lensing distortions in the Kerr metric
- Non-Equatorial Deflection of Light due to Kerr-Newman Black Hole: A Material Medium Approach
- Light Deflection in Plasma in the Hartle-Thorne Metric and in Other Axisymmetric Spacetimes with a Quadrupole Moment
- Perturbative deflection angles of timelike rays
- Efficient gravitational lens optical scalars calculation of black holes with angular momentum
- Gravitational deflection of light in polar-axis plane of a moving Kerr-Newman black hole
- Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
- Deflection of light due to spheroidal oblate static objects
- Angular Location of the Einstein Ring at large